10011000011011 has 2 divisors, whose sum is σ = 10011000011012. Its totient is φ = 10011000011010.

The previous prime is 10011000011009. The next prime is 10011000011027. The reversal of 10011000011011 is 11011000011001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (11011000011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011000011011 - 2¹ = 10011000011009 is a prime.

Together with 10011000011009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10011000010985 and 10011000011003.

It is not a weakly prime, because it can be changed into another prime (10011000071011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500005505 + 5005500005506.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500005506).

Almost surely, 2^{10011000011011} is an apocalyptic number.

10011000011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000011011 is an equidigital number, since it uses as much as digits as its factorization.

10011000011011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10011000011011 its reverse (11011000011001), we get a palindrome (21022000022012).

The spelling of 10011000011011 in words is "ten trillion, eleven billion, eleven thousand, eleven".